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Finding the Fourth Proportional to 273.69, 410.36 and 119.54

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Solution

The fourth proportional to 273.69, 410.36 and 119.54 is: 179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.69 : 410.36 = 119.54 : x
  2. Step 2: Convert to fraction form
    273.69/410.36 = 119.54/x
  3. Step 3: Cross multiply
    273.69x = 410.36 × 119.54
  4. Step 4: Simplify right side
    273.69x = 49,051.78
  5. Step 5: Solve for x
    x = 49,051.78/273.69
  6. Step 6: Final answer
    x = 179.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.